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13392506664 = 23323141146347
BaseRepresentation
bin11000111100100000…
…10110111100101000
31021120100100211101100
430132100112330220
5204411440203124
610052531521400
7652610266635
oct143620267450
937510324340
1013392506664
1157527a2529
122719159260
1313557bb674
1491093d18c
15535b351c9
hex31e416f28

13392506664 has 96 divisors (see below), whose sum is σ = 38354883840. Its totient is φ = 4214764800.

The previous prime is 13392506657. The next prime is 13392506669. The reversal of 13392506664 is 46660529331.

It is not an unprimeable number, because it can be changed into a prime (13392506669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18339 + ... + 164685.

It is an arithmetic number, because the mean of its divisors is an integer number (399530040).

Almost surely, 213392506664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13392506664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19177441920).

13392506664 is an abundant number, since it is smaller than the sum of its proper divisors (24962377176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13392506664 is a wasteful number, since it uses less digits than its factorization.

13392506664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146431 (or 146424 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 13392506664 in words is "thirteen billion, three hundred ninety-two million, five hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 41 62 72 82 93 123 124 164 186 246 248 279 328 369 372 492 558 738 744 984 1116 1271 1476 2232 2542 2952 3813 5084 7626 10168 11439 15252 22878 30504 45756 91512 146347 292694 439041 585388 878082 1170776 1317123 1756164 2634246 3512328 4536757 5268492 6000227 9073514 10536984 12000454 13610271 18000681 18147028 24000908 27220542 36001362 36294056 40830813 48001816 54002043 54441084 72002724 81661626 108004086 108882168 144005448 163323252 186007037 216008172 326646504 372014074 432016344 558021111 744028148 1116042222 1488056296 1674063333 2232084444 3348126666 4464168888 6696253332 13392506664